Question

已知a的2次方+b的2次方+2c的2次方+2ac-2bc=0,求a+b的值

Answer 1

a的2次方+b的2次方+2c的2次方+2ac-2bc=0

a^2+2ac+c^2+b^2-2bc+c^2=0

(a+c)^2+(b-c)^2=0

a+c=0

a=-c

b-c=0

b=c

a+b=-c+c=0